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Finding the Fourth Proportional to 20,319.85, 30,489.36 and 7,178.41

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Solution

The fourth proportional to 20,319.85, 30,489.36 and 7,178.41 is: 10,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319.85 : 30,489.36 = 7,178.41 : x
  2. Step 2: Convert to fraction form
    20,319.85/30,489.36 = 7,178.41/x
  3. Step 3: Cross multiply
    20,319.85x = 30,489.36 × 7,178.41
  4. Step 4: Simplify right side
    20,319.85x = 218,865,126.72
  5. Step 5: Solve for x
    x = 218,865,126.72/20,319.85
  6. Step 6: Final answer
    x = 10,771.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.